TY  - BOOK
AU  - Cobzaş,Ştefan
AU  - Miculescu,Radu
AU  - Nicolae,Adriana
ED  - SpringerLink (Online service)
TI  - Lipschitz Functions
T2  - Lecture Notes in Mathematics,
SN  - 9783030164898
AV  - QA319-329.9 
U1  - 515.7 23
PY  - 2019///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Functional analysis
KW  - Functions of real variables
KW  - Approximation theory
KW  - Operator theory
KW  - Convex geometry 
KW  - Discrete geometry
KW  - Functional Analysis
KW  - Real Functions
KW  - Approximations and Expansions
KW  - Operator Theory
KW  - Convex and Discrete Geometry
N2  - The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces. The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book
UR  - https://doi.org/10.1007/978-3-030-16489-8
ER  -